Dynamic analysis of magneto-electro-elastic nanostructures using node-based smoothed radial point interpolation method combined with micromechanics-based asymptotic homogenization technique. (December 2020)

• Record Type: Journal Article
• Authors: Zhou, Liming; Nie, Bin; Ren, Chuanxin; Ren, Shuhui; Meng, Guangwei
• Is Part Of: Journal of intelligent material systems and structures. Volume 31:Number 20(2020)
• Page Start: 2342
• Page End: 2361
• Publication Date: 2020-12
• Subjects: magneto-electro-elastic -- asymptotic homogenization method -- node-based smoothed radial point interpolation method -- Newmark method -- dynamic response analysis -- micromechanical problem; Smart materials -- Periodicals; Intelligent control systems -- Periodicals; Artificial intelligence -- Periodicals; Matériaux intelligents -- Périodiques; Commande intelligente -- Périodiques; Intelligence artificielle -- Périodiques; 620.11
• DOI: 10.1177/1045389X20935572
• Languages: English
• ISSNs: 1045-389X

Abstract

The node-based smoothed radial point interpolation method combined with the asymptotic homogenization method was proposed, as an addition to the finite element method, to address the static and dynamic reactions of magneto-electro-elastic coupling micromechanical problems. First, several basic equations for relevant problems were derived. Second, asymptotic homogenization method was utilized to determine the material properties of magneto-electro-elastic nanomaterials. Third, node-based smoothed radial point interpolation method was applied to obtain the discrete equations of magneto-electro-elastic nanostructures. Then, the Newmark method was introduced to solve the response of microcosmic problems. Finally, several numerical examples were calculated to prove the accuracy, convergence, and reliability of node-based smoothed radial point interpolation method by comparing the results of node-based smoothed radial point interpolation method with those of finite element method.